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Finding the Fourth Proportional to 730.94, 1,097.13 and 500.18

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Solution

The fourth proportional to 730.94, 1,097.13 and 500.18 is: 750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.94 : 1,097.13 = 500.18 : x
  2. Step 2: Convert to fraction form
    730.94/1,097.13 = 500.18/x
  3. Step 3: Cross multiply
    730.94x = 1,097.13 × 500.18
  4. Step 4: Simplify right side
    730.94x = 548,762.48
  5. Step 5: Solve for x
    x = 548,762.48/730.94
  6. Step 6: Final answer
    x = 750.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.